On the Mehler‐Fock Transform in Lp‐Space

DOI10.1002/mana.3211850116zbMath0873.44002OpenAlexW1964118597MaRDI QIDQ4340574

Semyon B. Yakubovich, Megumi Saigo

Publication date: 4 November 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211850116

zbMATH Keywords

Kontorovich-Lebedev transformMehler-Fock transformLegendre functionindex transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (9)

Continuous wavelet transform associated with zero-order Mehler–Fock transform and its composition ⋮ Localization operators and scalogram in the framework of Mehler-Fock wavelet transform ⋮ A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms ⋮ The convolution for zero-order Mehler–Fock transform and pseudo-differential operator ⋮ Orthogonality relations for the associated Legendre functions of imaginary order ⋮ Properties of index transforms in modeling of nanostructures and plasmonic systems ⋮ \(L_p\)-boundedness of general index transforms ⋮ NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms ⋮ Convolution for the mehler–fock transform of generalized functions

Cites Work

• On the Convolution Theorem of the Mehler-Fock-Transform for a Class of Generalized Functions (II)
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